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Finding the Fourth Proportional to 5,230.90, 7,846.48 and 1,532.74

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Solution

The fourth proportional to 5,230.90, 7,846.48 and 1,532.74 is: 2,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.90 : 7,846.48 = 1,532.74 : x
  2. Step 2: Convert to fraction form
    5,230.90/7,846.48 = 1,532.74/x
  3. Step 3: Cross multiply
    5,230.90x = 7,846.48 × 1,532.74
  4. Step 4: Simplify right side
    5,230.90x = 12,026,613.76
  5. Step 5: Solve for x
    x = 12,026,613.76/5,230.90
  6. Step 6: Final answer
    x = 2,299.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.